::Free Statistics and Forecasting Software::

All rights reserved. The non-commercial (academic) use of this software is free of charge. The only thing that is asked in return is to cite this software when results are used in publications.

This free online calculator computes the following Concentration statistics: entropy, maximum entropy, normalized entropy, exponential index, Lorenz curve, Herfindahl index, Gini coefficient, and concentration coefficient. To be used with (absolute) frequencies.

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Concentration - Ungrouped Data
Entropy	1.392321
Maximum Entropy	1.609438
Normalized Entropy	0.865098
Exponential Index	0.248498
Herfindahl	0.285000
Normalized Herfindahl	0.106250
Gini Coefficient	0.360000
Concentration Coefficient	0.450000
Categories	5

Concentration 2 - Ungrouped Data
Category	Elements (Absolute)	Elements (Relative)	Entropy (Absolute)	Entropy (Relative)
1	80.000000	0.400000	0.366516	0.263241
2	60.000000	0.300000	0.361192	0.259417
3	10.000000	0.050000	0.149787	0.107580
4	20.000000	0.100000	0.230259	0.165377
5	30.000000	0.150000	0.284568	0.204384

Concentration 3 - Ungrouped Data
Category	Elements (Absolute Cumulated)	Elements (Relative Cumulated)	Entropy (Absolute Cumulated)	Entropy (Relative Cumulated)
1	80.000000	0.400000	0.366516	0.263241
2	140.000000	0.700000	0.727708	0.522658
3	150.000000	0.750000	0.877495	0.630239
4	170.000000	0.850000	1.107753	0.795616
5	200.000000	1.000000	1.392321	1.000000

Concentration 4 - Lorenz Curve - Ungrouped Data
Cumulative % of population	Cumulative % of variable
	Expected	Observed
0%	0.000000	0.000010
20%	0.200000	0.050000
40%	0.400000	0.150000
60%	0.600000	0.300000
80%	0.800000	0.600000
100%	1.000000	1.000000

To cite Wessa.net in publications use:
Wessa, P. (2010), Free Statistics Software, Office for Research Development and Education,
version 1.1.23-r6, URL http://www.wessa.net/

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Software Version : 1.1.23-r6
Algorithms & Software : Patrick Wessa, PhD
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